Czasopismo
2004
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Vol. 61, nr 3,4
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223--245
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
This paper is concerned with consistency properties for fuzzy consumers. We introduce the consistency conditions Fα, Fβ, Fδ as fuzzy forms of Sen's properties α, β and δ. Other consistency conditions are also studied: Fα2, Fβ(+), Fγ2 and FPI. The main results are: (1) A fuzzy consumer verifies Fα, Fβ if and only if the congruence axiom WFCA holds; (2) If h is a normal fuzzy consumer then Fδ holds if and only if the associated fuzzy preference relation R is quasi-transitive; (3) A fuzzy consumer is normal if and only if conditions Fα2, Fγ2 hold.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
223--245
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
- Turku Centre for Computer Science, Institute for Advances Mangement Systems Researcg, Lemminkäisenkatu 14, FIN-20520 Turku, Finland, irina.georgescu@abo.fi
Bibliografia
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- [3] Barret, C. R., Pattanaik, P. K., Salles, M.: On the structure of fuzzy social welfare functions. Fuzzy Sets and Systems, 19, 1986, 1-11.
- [4] Barret, C. R., Pattanaik, P. K., Salles, M.: On choosing rationally when preferences are fuzzy. Fuzzy Sets and Systems, 4, 1990, 197-212.
- [5] Barret, C. R., Pattanaik, P. K., Salles, M.: Rationality and aggregation of preferences in an ordinal fuzzy framework, Fuzzy Sets and Systems, 49, 1992, 9-13.
- [6] Bordes, G.: Consistency, rationality and collective choice. Review of Economic Studies, 43, 1976,451-457.
- [7] Belohldvek, R.: Fuzzy Relational Systems. Foundations and Principles., Kluwer, 2002.
- [8] Carlsson, C, Fuller, R.: Fuzzy Reasoning in Decision Making and Optimization, Physica-Verlag, 2002.
- [9] Chemoff, H.: Rational selection of decision functions, Econometrica, 22, 1954,424-443.
- [10] Georgescu, I.: A fuzzy analysis of a Richter theorem in fuzzy consumers. Proceedings of the 3rd International Conference in Fuzzy Logic and Technology EUSFLAT 2003, Zittau, Germany, 2003,423-428.
- [11] Georgescu, I.: Rational and congruous fuzzy consumers. Proceedings of the International Conference on Fuzzy Information Processing, Theory and Applications, Beijing, China, 2003, 133-137.
- [12] Georgescu, I.: On the axioms of revealed preference in fuzzy consumers theory. Journal of Systems Sciences and Systems Engineering, forthcoming.
- [13] Hajek, P.: Metamathematics of Fuzzy Logic, Kluwer, 1998.
- [14] Houthakker, H. S.: Revealed preference and utility functions, Economica, 17, 1950, 159-174.
- [15] Klement, E. P., Mesiar, R., Pap, E.: Triangular norms, Kluwer, 1998.
- [16] Kulshreshtha, P., Shekar, B.: Interrelationship among fuzzy preference - based choice function and significance of rationality conditions: a taxonomic and intuitive perspective. Fuzzy Sets and Systems, 109, 2000, 429-445.
- [17] Nash, J. F: The bargaining problem, Econometrica, 18, 1950, 155-162.
- [18] Richter, M.: Revealed preference theory, Econometrica, 3^, 1966,635-645.
- [19] Richter, M.: Rational choice, in: Preference, utility, and demand (J. S. Chipman, et al., Eds.), New-York: Harcourt Brace Jovanovich, 1971.
- [20] Samuelson, P. A.: A note on the pure theory of consumers' behaviour, Economica, 5, 1938, 61-71.
- [21] Sen, A. K.: Quasi-transitivity, rational choice and collective decisions. Review of Economic Studies, 36, 1969,381-383.
- [22] Sen, A. K.: Choice functions and revealed preference. Review of Economic Studies, 38, 1971, 307-312.
- [23] Sen, A. K.: Social choice theory: A reexamination, Econometrica, 45,1977,53-89.
- [24] Sen, A. K.: Choice, welfare and measurement, Cambridge MA: MIT Press and Oxford: Blackwell, 1982.
- [25] Suzumura, K.: Rational choice and revealed preference. Review of Economic Studies, 43, 1976, 149-159.
- [26] Turunen, E.: Mathematics Behind Fuzzy Logic, Physica-Verlag, 1999.
- [27] Uzawa, H.: A note on preference and axioms of choice. Annals of the Institute of Statistical Mathematics, 8, 1956, 35-40.
- [28] Uzawa, H.: Preference and rational choice in the theory of consumption, in: Mathematical Methods in Social Sciences (K. J. Arrow, et al., Eds.), Stanford, Stanford University Press, 1959.
- [29] Zimmermann, H. J.: Fuzzy Set Theory and Its Applications, Kluwer, 1984.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0005-0062